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Chapter 4 Baseband Pulse Transmission

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1 Chapter 4 Baseband Pulse Transmission
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

2 Haykin/Communication Systems, 4th Ed
Chapter Outline ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

3 Haykin/Communication Systems, 4th Ed
4.1 Introduction ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

4 Haykin/Communication Systems, 4th Ed
4.2 Matched Filter ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

5 Figure 4.1 Linear receiver.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

6 4.2 Matched Filter (Continued)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

7 Haykin/Communication Systems, 4th Ed
Example ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

8 Haykin/Communication Systems, 4th Ed
Figure 4.2 (a) Rectangular pulse. (b) Matched filter output. (c) Integrator output. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

9 Figure 4.3 Integrate-and-dump circuit.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

10 Haykin/Communication Systems, 4th Ed
4.3 Error Rate Due to Noise ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

11 Haykin/Communication Systems, 4th Ed
Figure 4.4 Receiver for baseband transmission of binary-encoded PCM wave using polar NRZ signaling. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

12 4.3 Error Rate Due to Noise (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

13 4.3 Error Rate Due to Noise (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

14 4.3 Error Rate Due to Noise (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

15 4.3 Error Rate Due to Noise (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

16 4.3 Error Rate Due to Noise (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

17 4.3 Error Rate Due to Noise (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

18 Haykin/Communication Systems, 4th Ed
Figure 4.5 Noise analysis of PCM system. (a) Probability density function of random variable Y at matched filter output when 0 is transmitted. (b) Probability density function of Y when 1 is transmitted. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

19 Figure 4.6 Probability of error in a PCM receiver.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

20 4.4 Intersymbol Interference
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

21 4.4 Intersymbol Interference (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

22 4.4 Intersymbol Interference (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

23 Figure 4.7 Baseband binary data transmission system.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

24 Haykin/Communication Systems, 4th Ed
4.5 Nyquist’s Criterion ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

25 4.5 Nyquist’s Criterion (Cont’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

26 4.5 Nyquist’s Criterion (Cont’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

27 4.5 Nyquist’s Criterion (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

28 Figure 4.8 (a) Ideal magnitude response. (b) Ideal basic pulse shape.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

29 Haykin/Communication Systems, 4th Ed
Figure 4.9 A series of sinc pulses corresponding to the sequence ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

30 4.5 Nyquist’s Criterion (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

31 4.5 Nyquist’s Criterion (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

32 Haykin/Communication Systems, 4th Ed
Figure 4.10 Responses for different rolloff factors. (a) Frequency response. (b) Time response. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

33 4.6 Correlative-Level Coding
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

34 4.6 Correlative-Level Coding (Cd)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

35 4.6 Correlative-Level Coding (Cd)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

36 4.6 Correlative-Level Coding (Cd)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

37 4.6 Correlative-Level Coding (Cd)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

38 Figure 4.11 Duobinary signaling scheme.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

39 Haykin/Communication Systems, 4th Ed
Figure 4.12 Frequency response of the duobinary conversion filter. (a) Magnitude response. (b) Phase response. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

40 Figure 4.13 Impulse response of the duobinary conversion filter.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

41 Haykin/Communication Systems, 4th Ed
Figure 4.14 A precoded duobinary scheme; details of the duobinary coder are given in Figure 4.11. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

42 Haykin/Communication Systems, 4th Ed
Figure 4.15 Detector for recovering original binary sequence from the precoded duobinary coder output. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

43 4.6 Correlative-level Coding
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

44 4.6 Correlative-Level Coding (Continued)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

45 Figure 4.16 Modified duobinary signaling scheme.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

46 Haykin/Communication Systems, 4th Ed
Figure 4.17 Frequency response of the modified duobinary conversion filter. (a) Magnitude response. (b) Phase response. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

47 Haykin/Communication Systems, 4th Ed
Figure 4.18 Impulse response of the modified duobinary conversion filter. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

48 4.6 Correlative-Level Coding (Cd)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

49 4.6 Correlative-Level Coding (Continued)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

50 Figure 4.19 Generalized correlative coding scheme.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

51 4.7 Baseband M-ary PAM Transmission
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

52 Haykin/Communication Systems, 4th Ed
Figure 4.20 Output of a quaternary system. (a) Waveform. (b) Representation of the 4 possible dibits, based on Gray encoding. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

53 4.8 Digital Subscriber Lines
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

54 4.8 Digital Subscriber Lines (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

55 4.8 Digital Subscriber Lines (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

56 4.8 Digital Subscriber Lines (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

57 Haykin/Communication Systems, 4th Ed
Figure 4.21 Block diagram depicting the operational environment of digital subscriber lines. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

58 Haykin/Communication Systems, 4th Ed
Figure 4.22 Full-duplex operation using (a) time compression multiplexing, and (b) echo-cancellation. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

59 Haykin/Communication Systems, 4th Ed
Figure 4.23 Simplified circuit of hybrid transformer. For the bridge to be balanced, the reference impedance Zref should equal the line impedance zl. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

60 Haykin/Communication Systems, 4th Ed
Figure 4.24 (a) Near-end crosstalk (NEXT). (b) Far-end crosstalk (FEXT). ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

61 Figure 4.25 Model of twisted-pair channel.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

62 4.8 Digital Subscriber Lines (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

63 Haykin/Communication Systems, 4th Ed
Figure 4.26 (a) Illustrating the different band allocations for an FDM-based ADSL system. (b) Block diagram of splitter performing the function of multiplexer or demultiplexer. Note: both filters in the splitter are bidirectional filters. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

64 Haykin/Communication Systems, 4th Ed
4.9 Optimum Receiver ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

65 4.9 Optimum Receiver (Cont’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

66 4.9 Optimum Receiver (Cont’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

67 4.9 Optimum Receiver (Cont’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

68 Haykin/Communication Systems, 4th Ed
Figure 4.27 Optimum linear receiver consisting of the cascade connection of matched filter and transversal equalizer. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

69 4.10 Adaptive Equalization
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

70 Figure 4.28 Block diagram of adaptive equalizer.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

71 4.10 Adaptive Equalization (C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

72 4.10 Adaptive Equalization(C’d)
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

73 Haykin/Communication Systems, 4th Ed
Figure 4.29 Signal-flow graph representation of the LMS algorithm involving the kth tap weight. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

74 Haykin/Communication Systems, 4th Ed
Figure 4.30 Illustrating the two operating modes of an adaptive equalizer: For the training mode, the switch is in position 1; and for the tracking mode, it is moved to position 2. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

75 Haykin/Communication Systems, 4th Ed
Figure 4.31 Impulse response of a discrete-time channel, depicting the precursors and postcursors. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

76 Figure 4.32 Block diagram of decision-feedback equalizer.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

77 4.11 Computer Experiment: Eye Diagram
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

78 Figure 4.33 Interpretation of the eye pattern.
©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

79 Haykin/Communication Systems, 4th Ed
Figure 4.34 (a) Eye diagram for noiseless quaternary system. (b) Eye diagram for quaternary system with SNR  20 dB. (c) Eye diagram for quaternary system with SNR  10 dB. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

80 Haykin/Communication Systems, 4th Ed
Figure 4.35 (a) Eye diagram for noiseless band-limited quaternary system: cutoff frequency fo  Hz. (b) Eye diagram for noiseless band-limited quaternary system: cutoff frequency fo  0.5 Hz. ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

81 Haykin/Communication Systems, 4th Ed
Figure P4.1 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

82 Haykin/Communication Systems, 4th Ed
Figure P4.2 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

83 Haykin/Communication Systems, 4th Ed
Figure P4.4 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

84 Haykin/Communication Systems, 4th Ed
Figure P4.12 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

85 Haykin/Communication Systems, 4th Ed
Figure P4.23 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

86 Haykin/Communication Systems, 4th Ed
Figure P4.27 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

87 Haykin/Communication Systems, 4th Ed
Figure P4.31 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

88 Haykin/Communication Systems, 4th Ed
Figure P4.32 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018

89 Haykin/Communication Systems, 4th Ed
Figure P4.34 ©2000, John Wiley & Sons, Inc. Haykin/Communication Systems, 4th Ed 9/20/2018


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